A345472 Emirps p such that both p and its reversal are sums of three consecutive primes.

1151, 1249, 1511, 3467, 3697, 7643, 7963, 9421, 11593, 32749, 36467, 39511, 71329, 76463, 92317, 94723, 110119, 111109, 123707, 124309, 124823, 128377, 141371, 146953, 150383, 155153, 160159, 164291, 167779, 173141, 178223, 184609, 190807, 192383, 192461, 199247, 304193, 304879, 306133, 322871

Offset: 1

Author

J. M. Bergot and Robert Israel, Jun 20 2021

Keywords

• nonn
• base

Comments

Numbers p such that p and its digit reversal are distinct members of A034962.

Examples

			a(4) = 1511 because 1511 and its reversal 1151 are distinct primes, and 1511 = 499+503+509 and 1151 = 379+383+389 are sums of three consecutive primes.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..1792

Crossrefs

Cf. A006567, A034962.

Programs

Maple

digrev:= proc(n) local L, i;
  L:= convert(n, base, 10);
  add(L[-i]*10^(i-1), i=1..nops(L))
end proc:P:= select(isprime, [2,seq(i,i=3..nextprime(nextprime(333333)),2)]):
P3:= convert(select(isprime,P[1..-3]+P[2..-2]+P[3..-1]),set):
B:= P3 intersect map(digrev,P3):
sort(convert(remove(t -> digrev(t)=t,B),list);